Question:hard

Read the following passage and answer the question that follows.

Attempting to understand science and scientific reasoning in terms of the subjective beliefs of scientists would seem to be a disappointing departure for those who seek an objective account of science. Howson and Urbach have an answer to that charge. They insist that the Bayesian theory constitutes an objective theory of scientific inference. That is, given a set of prior probabilities and some new evidence, Bayes' theorem dictates in an objective way what the new, posterior, probabilities must be in the light of that evidence. There is no difference in this respect between Bayesianism and deductive logic, because logic has nothing to say about the source of the propositions that constitute the premises of a deduction either. It simply dictates what follows from those propositions once they are given. The Bayesian defence can be taken a stage further. It can be argued that the beliefs of individual scientists, however much they might differ at the outset, can be made to converge given the appropriate input of evidence. It is easy to see in an informal way how this can come about. Suppose two scientists start out by disagreeing greatly about the probable truth of hypothesis h which predicts otherwise unexpected experimental outcome e. The one who attributes a high probability to h will regard e as less unlikely than the one who attributes a low probability to h. So P(e) will be high for the former and low for the latter. Suppose now that e is experimentally confirmed. Each scientist will have to adjust the probabilities for h by the factor P(e/h)/P(e). However, since we are assuming that e follows from h, P(e/h) is 1 and the scaling factor is 1/P(e). Consequently, the scientist who started with a low probability for h will scale up that probability by a larger factor than the scientist who started with a higher probability for h. As more positive evidence comes in, the original doubter is forced to scale up the probability in such a way that it eventually approaches that of the already convinced scientist. In this way, argue the Bayesians, widely differing subjective opinions can be brought into conformity in response to evidence in an objective way.



Strictly following the idea put forward in the article, which one of the following is a logical possibility:

Show Hint

Check whether each option keeps h as the single hypothesis and e as the single, separate predicted outcome, the way the passage's own example does.
Updated On: Jul 13, 2026
  • The idea that astrologers can predict stock market movements better than economists, if astrologers' hypothesis (h) is more consistently followed by outcomes (e) than that of economists.
  • The fact that stock-market movements are in sync with the movement of the heavenly bodies; both (h) and (e) contained in the same statement.
  • That certain astrological phenomena can influence thinking of humans (e) which is manifested in stock-market booms and crashes (h).
  • None of these.
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Understanding the Question:
We must apply, strictly, the passage's model: one hypothesis h makes one prediction, called outcome e, and belief in h changes in an objective way once e is checked against evidence. The question asks which option is a genuine, logically sound example of this model.

Step 2: Key Approach:
Check each option for whether it keeps h and e as two separate, clearly labelled things, with h doing the predicting and e being the single outcome predicted, matching exactly how the passage sets up its example with the two scientists.

Step 3: Detailed Explanation:
The first option compares astrologers to economists as two rival prediction systems rather than testing one hypothesis against one outcome, so it does not match the passage's single h-to-e format. The second option puts both h and e inside one combined statement about stock markets syncing with the heavenly bodies, but the passage's whole method depends on h and e being distinct: a hypothesis proposed first, then an outcome checked against it later. The third option calls human thinking e and market crashes h, which reverses the natural order of a hypothesis leading to an outcome, since here the supposed outcome is placed before the supposed hypothesis in the causal chain. The remaining possibility in the original paper chains two separate outcomes off one hypothesis, which turns the passage's single clean prediction into a two step process; the passage's model does not describe or need such a chain either. Since every option either mixes up two systems, merges h and e together, or swaps their roles, none of them actually reproduces the simple h-predicts-e structure the passage lays out.

Step 4: Final Answer:
The answer is option 4: none of these. Every listed option departs from the passage's plain hypothesis-predicts-outcome model in its own way, so none of them can be called a correct logical possibility under that model.
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